Nicholas Kakavitsas

and 2 more

This paper presents a framework for training a Gaussian process (GP) to estimate a steady urban wind field from a sparse set of wind measurements by leveraging training data collected from computational fluid dynamics (CFD) simulations. Gaussian process models for spatial estimation often use measurement locations as the input space with proximity-based covariance functions. This work investigates including building morphology features into the GP model that are defined by the signed distance field (SDF) and its gradient evaluated at a pattern of points around each sample location. Augmenting the measurement locations with different subsets of building morphology features leads to unique feature spaces. Several different GP models are trained using various feature spaces and covariance functions, including with a coregion covariance function that allows simultaneous training over multiple CFD datasets for different urban geometries. A framework is developed to generate CFD wind field data for a set of randomized geometries, build various feature spaces, and perform the estimation with the proposed GP models. The framework is evaluated with a simple environment that consists of two buildings with randomized position and geometry in a wind field with constant inflow magnitude and direction. Results are presented comparing the estimation performance across different GP models with an increasing number of optimization iterations. The computation versus accuracy trade-off of using hyperparameters trained over multiple similar prior CFD datasets, rather than hyperparameters that are optimized on-the-fly, over a single dataset is also demonstrated.